What is her useful power output (in W) if she does 30 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.)                                     ? W

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  1. What is her useful power output (in W) if she does 30 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.)                                     ? W
**Push-Up Force and Work Analysis**

**Figure Explanation:**
The figure shows a woman in a push-up position. Her body is horizontal with a center of gravity (CG) marked in the diagram. The diagram includes measurements: 0.88 m from the feet to the CG and 1.47 m from the feet to the hands on the ground. The body weight is symbolized as "w" acting downward through the CG and the normal force from the ground is labeled as "Fᵣₑₐcₜᵢₒₙ". The mass of the woman is 47 kg.

**Calculations:**

**(a) Calculate the force (in N) the woman exerts to do a push-up at constant speed.**
- The force exerted by the woman during the push-up is calculated as:  
  **275.733 N**

**(b) How much work (in J) does she do if her center of mass rises 0.200 m?**
- The work done when her center of mass rises 0.200 m is:  
  **92.12 J**

**(c) What is her useful power output (in W) if she does 30 push-ups in 1 min?**
- Her useful power output when performing 30 push-ups in 1 minute is:  
  **92.12 W**

*Note: The discussion encourages considering whether the work done while lowering the body should be included, per topics in Work, Energy, and Power in Humans.*
Transcribed Image Text:**Push-Up Force and Work Analysis** **Figure Explanation:** The figure shows a woman in a push-up position. Her body is horizontal with a center of gravity (CG) marked in the diagram. The diagram includes measurements: 0.88 m from the feet to the CG and 1.47 m from the feet to the hands on the ground. The body weight is symbolized as "w" acting downward through the CG and the normal force from the ground is labeled as "Fᵣₑₐcₜᵢₒₙ". The mass of the woman is 47 kg. **Calculations:** **(a) Calculate the force (in N) the woman exerts to do a push-up at constant speed.** - The force exerted by the woman during the push-up is calculated as: **275.733 N** **(b) How much work (in J) does she do if her center of mass rises 0.200 m?** - The work done when her center of mass rises 0.200 m is: **92.12 J** **(c) What is her useful power output (in W) if she does 30 push-ups in 1 min?** - Her useful power output when performing 30 push-ups in 1 minute is: **92.12 W** *Note: The discussion encourages considering whether the work done while lowering the body should be included, per topics in Work, Energy, and Power in Humans.*
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